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Finding the Fourth Proportional to 116,185.72, 160,330.62 and 65,875

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Solution

The fourth proportional to 116,185.72, 160,330.62 and 65,875 is: 90,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,185.72 : 160,330.62 = 65,875 : x
  2. Step 2: Convert to fraction form
    116,185.72/160,330.62 = 65,875/x
  3. Step 3: Cross multiply
    116,185.72x = 160,330.62 × 65,875
  4. Step 4: Simplify right side
    116,185.72x = 10,561,779,592.50
  5. Step 5: Solve for x
    x = 10,561,779,592.50/116,185.72
  6. Step 6: Final answer
    x = 90,904.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.